Q. 352 Solve a System of Equations by E... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 5: Q. 352 (page 679)

Solve a System of Equations by Elimination In the following exercises, solve the systems of equations by elimination.
$\{4 x + 2 y = 2 - 4 x 鈭� 3 y = 鈭� 9\}$

Short Answer

Expert verified

The solution of the given system of equation is $(,)$

Step by step solution

Step.1 Given information

In this question system of two equations $\{4 x + 2 y = 2 - 4 x 鈭� 3 y = 鈭� 9\}$ are given.

We need to find the solution to these equations

Step 2. Description of finding a solution for given equations

In the question, both equations are in standard form, and to eliminate we need to add both equations since coe. x is the opposite. Then,

$4 x + 2 y = 2 (1) - 4 x - 3 y = - 9 (2) w h e n (1) + (2) 鈬� - y = - 7 y = 7 t o g e t v a l u e f o r t h e v a r i a b l e x w e h a v e t o s u s t i t u t e y = 7 i n (1) o r (2) t h e n p u t y = 7 i n (1) w e g e t 4 x + 2 脳 7 = 2 4 x = 2 - 14 x = - \frac{12}{4} = - 3 n o w t h e s o l u t i o n f o r x a n d y a r e (- 3, 7)$

Step 3. Checking the (-3,7) is the solution for the original equations

To check the original solution, we have to substitute solution (-3,7) in the given system equations and if both sides are equal in the given equations then (-3,7) is the original solution. Then

4 x + 2 y = 2, p u t x = - 3, y = 7 i n t h i s o r g i n a l e q u a t i o n w e g e t - 3 脳 4 + 2 脳 7 = 2 - 12 + 14 = 2 2 = 2, b o t h s i d e s a r e e q u a l - 4 x - 3 y = - 9 . s u b s t i t u e t h e v a l u e s x = - 3 a n d y = 7 t h e n - 4 脳 - 3 - 3 脳 7 = - 9 12 - 21 c = - 9 - 9 = - 9, b o t h s i d e s a r e e q u a l S o o r d e r e d p a i r (- 3, 7) i s a s o l u t i o n f o r g i v e n e q u a t i o n s T o c h e c k t h e o r i g i n a l s o l u t i o n, w e h a v e t o s u b s t i t u t e s o l u t i o n (- 3, 7) i n t h e g i v e n s y s t e m e q u a t i o n s a n d i f b o t h s i d e s a r e e q u a l i n t h e g i v e n e q u a t i o n s t h e n (- 3, 7) i s t h e o r i g i n a l s o l u t i o n . T h e n

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91影视

Solve a System of Equations by Elimination In the following exercises, solve the systems of equations by elimination.
$\{4 x + 2 y = 2 - 4 x 鈭� 3 y = 鈭� 9\}$

Short Answer

Step by step solution

Step.1 Given information

Step 2. Description of finding a solution for given equations

Step 3. Checking the (-3,7) is the solution for the original equations

One App. One Place for Learning.

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91影视

Solve a System of Equations by Elimination In the following exercises, solve the systems of equations by elimination.4x+2y=2-4x鈭�3y=鈭�9

Short Answer

Step by step solution

Step.1 Given information

Step 2. Description of finding a solution for given equations

Step 3. Checking the (-3,7) is the solution for the original equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Logic and Functions

Geometry

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve a System of Equations by Elimination In the following exercises, solve the systems of equations by elimination.
$\{4 x + 2 y = 2 - 4 x 鈭� 3 y = 鈭� 9\}$